MATH 2500 - Ordinary Differential Equations

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    Class Size
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    Credits
    3
    Prerequisite
    MATH 2400 - Calculus and Analytic Geometry III Minimum Grade: C Condition: Healthy/Safety: Additional: Outcomes Calculate the critical points of a differentiable multivariable function in an open ball, and applying the second derivative test, determine if these points are relative maxima, relative minima, or saddle points. Calculate double and triple integrals over rectangular and non-rectangular regions, by iterating, by changing the order of integration, or by changing variables. Apply Green's, Stoke's, and the Divergence theorems, and calculate surface integrals over parametrized piecewise smooth surfaces to compute flux of a vector field.
    Transfers To
    UC and CSUCal-GETC Area 2 · IGETC Area 2A · CSU GE Area B4
    Description
    This is an introduction to ordinary differential equations. Topics include first and second order linear equations, non-linear equations, complementary and particular solutions, linear independence and Wronskians, variation of parameters, undetermined coefficients, homogeneous equations, integrating factors, separation of variables, Laplace transforms, series solutions, eigenvalues and solving systems of differential equations, and applications. C-ID MATH 240.